Best Known (84−73, 84, s)-Nets in Base 27
(84−73, 84, 96)-Net over F27 — Constructive and digital
Digital (11, 84, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
(84−73, 84, 100)-Net over F27 — Digital
Digital (11, 84, 100)-net over F27, using
- net from sequence [i] based on digital (11, 99)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 100, using
(84−73, 84, 1077)-Net in Base 27 — Upper bound on s
There is no (11, 84, 1078)-net in base 27, because
- 1 times m-reduction [i] would yield (11, 83, 1078)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 65054 109343 451843 591763 992273 622305 057760 325582 921755 268761 571714 979640 688121 279972 234634 591230 668820 703777 289046 577225 > 2783 [i]